(ang′gəl) v.i. an·gled, an·gling
1. To fish with a hook and line.
2. To try to get slyly or artfully: with for. [<n.]
—noun Obs. A fish hook; fishing tackle. [OE angel fish hook]

(ang′gəl) noun
1. Geom. a The figure formed by the meeting of two lines or of two or more surfaces; corner; point. b The figure, concept, or relation of two straight lines (sides) emanating from one point (the vertex). c The figure formed by the intersection of two straight lines or of two or more planes. See list of geometric angles below.
2. A secluded place resembling a corner; nook.
3. The point of view or aspect from which any object, question, or situation may be regarded.
—critical angle
1. The least angle of incidence at which a ray is totally reflected.
2. Aeron. The angle of attack at which the airflow striking the under surface of an airplane changes abruptly, causing similar changes in lift and drag.
—gliding angle Aeron. The angle the flight path of an airplane makes with the horizontal when flying in still air under the influence of gravity alone.
—v. an·gled, an·gling v.t.
1. To move or turn at an angle or by angles: to angle a ball to avoid a hazard.
2. Colloq. To impart a particular bias or interpretation, as to a story or report.
—v.i.
3. To proceed or turn itself at an angle or by angles: The road angled up the hill. [ < F < L angulus a corner, angle]
PLANE ANGLES
PRINCIPAL GEOMETRIC ANGLES
—acute angle
An angle less than a right angle.
—adjacent angle
An angle having a common side with another angle and the same vertex.
—alternate angle
Either of two non-adjacent interior or exterior angles formed on opposite sides of a line which crosses two other lines.
—central angle
An angle whose vertex is the center of a circle and whose sides are radii.
—complementary angle
One of two angles whose sum is a right angle.
—conjugate angle
Either of two angles whose sum is a perigon.
—dihedral angle
The relation of two intersecting planes, as measured by the difference in direction of perpendiculars to them.
—exterior angle
1. Any of four angles formed on the outside of two straight lines cut by a third line.
2. The angle formed between any side of a polygon and the extension of an adjacent side.
—interior angle
1. One of the four angles formed between two straight lines cut by a third line.
2. The angle formed in the interior of a polygon by two adjacent sides.
—obtuse angle
An angle greater than a right angle.
—plane angle
An angle made by lines lying in one plane.
—reflex angle
An angle greater than a straight angle.
—right angle
An angle whose sides are perpendicular to each other; an angle of 90°.
—solid angle
The angle formed at the vertex of a cone or subtended at the point of intersection of three or more planes; equal to 4π steradians.
—spherical angle
The angle formed at the intersection of two great circles on a sphere: its value is a measure of the difference in direction of the arcs of the intersecting circles.
—straight angle
An angle of 180°, generated by two straight lines extending in opposite directions from the vertex.
—supplementary angle
One of two angles whose sum is a straight angle.